Search a number
-
+
12117601127 = 41226327409
BaseRepresentation
bin10110100100100001…
…11110101101100111
31011021111101220202202
423102100332231213
5144304101214002
65322230125115
7606166624112
oct132220765547
934244356682
1012117601127
115159085095
1224221b079b
1311b162b8a8
1482d4b1579
154adc50502
hex2d243eb67

12117601127 has 12 divisors (see below), whose sum is σ = 12468041520. Its totient is φ = 11776669440.

The previous prime is 12117601109. The next prime is 12117601141. The reversal of 12117601127 is 72110671121.

It is not a de Polignac number, because 12117601127 - 220 = 12116552551 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12117601127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117601157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428399 + ... + 455807.

It is an arithmetic number, because the mean of its divisors is an integer number (1039003460).

Almost surely, 212117601127 is an apocalyptic number.

12117601127 is a deficient number, since it is larger than the sum of its proper divisors (350440393).

12117601127 is an equidigital number, since it uses as much as digits as its factorization.

12117601127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27754 (or 27713 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 29.

The spelling of 12117601127 in words is "twelve billion, one hundred seventeen million, six hundred one thousand, one hundred twenty-seven".

Divisors: 1 41 263 1681 10783 27409 442103 1123769 7208567 46074529 295551247 12117601127